2353216 has 28 divisors (see below), whose sum is σ = 4736592. Its totient is φ = 1159808.

The previous prime is 2353193. The next prime is 2353217. The reversal of 2353216 is 6123532.

It is a d-powerful number, because it can be written as 2⁹ + 3⁵ + 5⁷ + 3¹¹ + 2²¹ + 1 + 6² .

It is not an unprimeable number, because it can be changed into a prime (2353217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091 + ... + 5533.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

2^2353216 is an apocalyptic number.

2353216 is the 886-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368296).

2353216 is an abundant number, since it is smaller than the sum of its proper divisors (2383376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2353216 is an equidigital number, since it uses as much as digits as its factorization.

2353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2353216 is about 1534.0195565898. The cubic root of 2353216 is about 133.0109098405.

Adding to 2353216 its reverse (6123532), we get a palindrome (8476748).

The spelling of 2353216 in words is "two million, three hundred fifty-three thousand, two hundred sixteen".